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Finding the Fourth Proportional to 30,208.78, 41,689 and 18,274.30

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Solution

The fourth proportional to 30,208.78, 41,689 and 18,274.30 is: 25,219.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,208.78 : 41,689 = 18,274.30 : x
  2. Step 2: Convert to fraction form
    30,208.78/41,689 = 18,274.30/x
  3. Step 3: Cross multiply
    30,208.78x = 41,689 × 18,274.30
  4. Step 4: Simplify right side
    30,208.78x = 761,837,292.70
  5. Step 5: Solve for x
    x = 761,837,292.70/30,208.78
  6. Step 6: Final answer
    x = 25,219.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.